Order of operation: rules for performing mathematical operation in expressions having more than one operation.
Mathematical expression: a combination of numbers and symbols.
Evaluate: to find the value of an expression
Discuss PEMDAS (10 min)
If the expression consists of parenthesis, exponents, +, –, × and ÷, then the operations MUST be performed in the following order.
Always work on the calculations within parenthesis first if any.
Next, calculate the exponents.
Then, carry out multiplication or division, working from left to right.
Lastly, do addition or subtraction, working from left to right.
The order to perform combined operations is called the PEMDAS rule.
Note: A common way for you to remember PEMDAS is the following:
Please
Excuse
My
Dear
Aunt
Sally.
Finish Worksheet #2
Do Work Sheet #2
Screen_shot_2010-12-07_at_8.36.18_AM.png
Rules of Exponents (15 min)
Exponents are shorthand for repeated multiplication of the same thing by itself. For instance, the shorthand for multiplying three copies of the number 5 is shown on the right-hand side of the "equals" sign in (5)(5)(5) = 53. The "exponent", being 3 in this example, stands for however many times the value is being multiplied. The thing that's being multiplied, being 5 in this example, is called the "base". This process of using exponents is called "raising to a power", where the exponent is the "power". The expression "53" is pronounced as "five, raised to the third power" or "five to the third". There are two specially-named powers: "to the second power" is generally pronounced as "squared", and "to the third power" is generally pronounced as "cubed". So "53" is commonly pronounced as "five cubed".
Pre/Alg
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Daily Warm up 17
Review NEW CONCEPT Math Vocabulary (15 min)
Discuss PEMDAS (10 min)
If the expression consists of parenthesis, exponents, +, –, × and ÷, then the operations MUST be performed in the following order.
Always work on the calculations within parenthesis first if any.
Next, calculate the exponents.
Then, carry out multiplication or division, working from left to right.
Lastly, do addition or subtraction, working from left to right.
The order to perform combined operations is called the PEMDAS rule.
Note: A common way for you to remember PEMDAS is the following:
Please
Excuse
My
Dear
Aunt
Sally.
Finish Worksheet #2
Do Work Sheet #2
Rules of Exponents (15 min)
Exponents are shorthand for repeated multiplication of the same thing by itself. For instance, the shorthand for multiplying three copies of the number 5 is shown on the right-hand side of the "equals" sign in (5)(5)(5) = 53. The "exponent", being 3 in this example, stands for however many times the value is being multiplied. The thing that's being multiplied, being 5 in this example, is called the "base".
This process of using exponents is called "raising to a power", where the exponent is the "power". The expression "53" is pronounced as "five, raised to the third power" or "five to the third". There are two specially-named powers: "to the second power" is generally pronounced as "squared", and "to the third power" is generally pronounced as "cubed". So "53" is commonly pronounced as "five cubed".
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Daily Warm up 18
Worksheet #3.
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Daily Warm up #19, 1-15
- Do all Problems:
1. 2 × 0 × (5 + 3) - 32. (2 - 6) - 4
3. 5 - 4 - 2 - (4 + 6)
4. 0 + 3 + 0
5. 2 - 6 - 6
6. 1 × 5 - 6 × (4 - 2) - 5
7. 5 × (6 × 3) + 2 - 1 + 5
8. 3 × (0 + 5)
9. 6 + 1 - (3 - 5) - 6
10. 3 + 3 - 2 - (1 × 1) × 1
11. 1 - (0 × 5) - 1
12. (2 - 3) - 6
13. (5 × 4) × 2
14. 1 + 2 + 2 × 4
15. 6 + 5 + 6 - 3 × 2
Worksheet #4